23 citations · 120 across the 25 of their papers we have counts for
29 papers
On the negative band number
Michele Capovilla-Searle, Tetsuya Ito, Keiko Kawamuro +1
We study the negative band number of braids, knots, and links using Birman, Ko, and Lee's left-canonical form of a braid. As applications, we characterize up to conjugacy strongly…
Birman-Ko-Lee Left Canonical Form and its Applications
Michele Capovilla-Searle, Keiko Kawamuro, Rebecca Sorsen
Using Birman, Ko, and Lee's left canonical form of a braid, we characterize almost strongly quasipositive braids and give estimates of the fractional Dehn twist coefficient.
Agol cycles of pseudo-Anosov 3-braids
Elaina Aceves, Keiko Kawamuro
An Agol cycle is a complete invariant of the conjugacy class of a pseudo-Anosov mapping class. We study necessary and sufficient conditions for equivalent Agol cycles of pseudo-Ano…
Comparing Bennequin-type inequalities
Elaina Aceves, Keiko Kawamuro, Linh Truong
The slice-Bennequin inequality states an upper bound for the self-linking number of a knot in terms of its four-ball genus. The -Bennequin and -Bennequin inequalities provide…
Braids, fibered knots, and concordance questions
Diana Hubbard, Keiko Kawamuro, Feride Ceren Kose +5
Given a knot in , one can associate to it a surface diffeomorphism in two different ways. First, an arbitrary knot in can be represented by braids, which can be though…
Twist left-veering open books, overtwistedness, looseness and virtual looseness
Tetsuya Ito, Keiko Kawamuro
We introduce twist left-veering mapping classes of punctured surfaces. We prove that a twist left-veering open book supports an overtwisted contact structure and determine when the…